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3 years ago

If f(x)= -4x - 11, find f(5) + 2

Mathematics

1 answer:

Kay [80]3 years ago

8 0

Answer:

f(5)+2

Step-by-step explanation:

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Let f(x) = 9 – x g(x) = 3 – x. Find (f – g)(x)

ANEK [815]

Answer:

Step-by-step explanation:

Remark

This would be easier to understand if it was written like f(x) - g(x). You might see what the question really is.

Equation

(f - g)x = f(x) - g(x)

Solution

(f - g)x = 9 - x - (3 - x) remove the brackets

(f - g)x = 9 - x - 3 + x

(f - g)x = 6

5 0

3 years ago

Which function will start at the y-axis at (0,7) 1. y=7x 2. y=x+7 3. y=x-7 4. y=x+5

Lelu [443]

Answer:

3 because you plug y into x and you have to get o for y

4 0

3 years ago

In 16 years, Ben will be 3 times as old as he is right now.How old is he right now?

Goryan [66]

Ben is 8 years old right now.

7 0

3 years ago

Read 2 more answers

A rectangular room is three times as long as it is wide , and it's perimeter is 72 meters . Find the length of the room.

Tanya [424]

Let the width = x

length = 3x

Now, 2(3x+x) = 72

2(4x)=72

8x=72

x = 9

So, length would be 3x=3(9) = 27 meters

5 0

4 years ago

A new medical test provides a false positive result for hepatitis 2% of the time that is a perfectly healthy subject being teste

Oxana [17]

Given that X be the number of subjects who test positive for the disease out of the 30 healthy subjects used for the test.

The probability of success, i.e. the probability that a healthy subject tests positive is given as 2% = 0.02

Part A:

The probability that all 30 subjects will appropriately test as not being infected, that is the probability that none of the healthy subjects will test positive is given by:

 $P(X)={ ^nC_xp^x(1-p)^{n-x}} \\ \\ P(0)={ ^{30}C_0(0.02)^0(1-0.02)^{30-0}} \\ \\ =1(1)(0.98)^{30}=0.5455$


Part B:

The mean of a binomial distribution is given by

 $\mu=np \\ \\ =30(0.02) \\ \\ =0.6$

The standard deviation is given by:

 $\sigma=\sqrt{np(1-p)} \\ \\ =\sqrt{30(0.02)(1-0.02)} \\ \\ =\sqrt{30(0.02)(0.98)}=\sqrt{0.588} \\ \\ =0.7668$


Part C:

This test will not be a trusted test in the field of medicine as it has a standard deviation higher than the mean. The testing method will not be consistent in determining the infection of hepatitis.

5 0

3 years ago